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Title:TEORIJA KAOSA - PEDAGOŠKI PRIPOMOČKI Z UPORABO APLETOV
Authors:ID Črček, Matjaž (Author)
ID KRALJ, SAMO (Mentor) More about this mentor... New window
Files:.pdf UNI_Crcek_Matjaz_2011.pdf (9,93 MB)
MD5: F0103533FDBE220BF61783399C264367
PID: 20.500.12556/dkum/c1f7e31e-eb5c-43b3-b7c6-40ba697703b0
 
Language:Slovenian
Work type:Undergraduate thesis
Organization:FNM - Faculty of Natural Sciences and Mathematics
Abstract:V diplomskem delu bom predstavil izobraževalne numerične simulacije s področja fizike kaosa, ki so prosto dostopne na spletu. Teorija kaosa je bila odkrita po letu 1950 in od takrat naprej se obzorje naravnih pojavov, v katerih igra kaos pomembno vlogo, neprestano širi. Številni pomembni raziskovalci trdijo, da se večina naravnih procesov spontano približuje robu kaosa. Posledično postaja narava vedno bolj »kompleksna« in lahko skladišči več informacij. Teorijo kaosa po pomembnosti postavljajo ob bok relativistične teorije in kvantne mehanike. Njen pomen je predvsem v tem, da dobro opisuje raznovrstne pojave v našem vsakdanjem življenju. Fizika kaosa vsebuje vrsto univerzalnosti. Slednje pomeni, da lahko vrsto povsem različnih fizikalnih sistemov opišemo z isto matematiko. Poleg tega je pogosto opaženo obnašanje izjemno robustno in neodvisno od detajlov opazovanega sistema. Kljub izjemnemu pomenu teorije kaosa za razlago pojavov v vsakdanjem življenju je poučevanje na tem področju v srednjih šolah v Sloveniji izjemno pomanjkljivo. Z namenom vpeljave primernega učnega materiala s tega področja za izobraževanje srednješolcev sem v delu na poljuden način predstavil ključne mehanizme kaosa, njegovo terminologijo ter pri tem uporabil za ilustracijo obstoječe aplete, ki so prosto dosegljivi na spletu.
Keywords:teorija kaosa, univerzalnost, atraktorji, logistične mape, orbitalni diagrami, fraktali
Place of publishing:Maribor
Publisher:[M. Črček]
Year of publishing:2011
PID:20.500.12556/DKUM-21435 New window
UDC:53(043.2)
COBISS.SI-ID:18833160 New window
NUK URN:URN:SI:UM:DK:SEOR24XN
Publication date in DKUM:21.12.2011
Views:3571
Downloads:311
Metadata:XML DC-XML DC-RDF
Categories:FNM
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Secondary language

Language:English
Title:CHAOS THEORY - PEDAGOGICAL RESOURCES WITH USE OF APPLETS
Abstract:In this work I will present numerical simulations, which can be easily found on internet, for education of physics in chaos. Chaos theory was discovered after 1950. Since then the horizon of natural phenomena in which chaos plays important role, is getting bigger and bigger. Number of important scientist is claiming that most of natural processes are getting closer to the edge of the chaos. Consequently, nature is becoming more and more “complex” and because of this it can store more information. Chaos theory is as much important as theory of relativity and quantum mechanics. It is important because it describes several natural phenomena which dominate our daily life. Physics of chaos contains several universalities. This enables to establish close mathematical link between seemingly completely different physical systems. Several phenomena in chaos theory are very robust and independent of the details of a system. In Slovenia teaching of chaos theory in secondary school is almost absent despite it is in describing natural phenomena in our everyday life. Because of that I will represent main mechanisms of chaos and “language” of chaos with use of applets which already exist and are freely available on internet.
Keywords:chaos theory, universality, attractors, logistic maps, orbit diagrams, fractals


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